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Finding the Fourth Proportional to 13,974.54, 20,961.36 and 3,444.63

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Solution

The fourth proportional to 13,974.54, 20,961.36 and 3,444.63 is: 5,166.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,974.54 : 20,961.36 = 3,444.63 : x
  2. Step 2: Convert to fraction form
    13,974.54/20,961.36 = 3,444.63/x
  3. Step 3: Cross multiply
    13,974.54x = 20,961.36 × 3,444.63
  4. Step 4: Simplify right side
    13,974.54x = 72,204,129.50
  5. Step 5: Solve for x
    x = 72,204,129.50/13,974.54
  6. Step 6: Final answer
    x = 5,166.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.